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41100552240 = 24351119819389
BaseRepresentation
bin100110010001110010…
…001010100000110000
310221002100221101100120
4212101302022200300
51133133220132430
630514211250240
72653336633626
oct462162124060
9127070841316
1041100552240
1116481210250
127b705a9980
133b500976c7
141dbc811516
15110842b610
hex991c8a830

41100552240 has 160 divisors (see below), whose sum is σ = 146310278400. Its totient is φ = 9439349760.

The previous prime is 41100552223. The next prime is 41100552257. The reversal of 41100552240 is 4225500114.

It is an interprime number because it is at equal distance from previous prime (41100552223) and next prime (41100552257).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41100552240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359535 + ... + 459854.

It is an arithmetic number, because the mean of its divisors is an integer number (914439240).

Almost surely, 241100552240 is an apocalyptic number.

41100552240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41100552240 is an abundant number, since it is smaller than the sum of its proper divisors (105209726160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41100552240 is a wasteful number, since it uses less digits than its factorization.

41100552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819435 (or 819429 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 41100552240 in words is "forty-one billion, one hundred million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 819389 1638778 2458167 3277556 4096945 4916334 6555112 8193890 9013279 9832668 12290835 13110224 15568391 16387780 18026558 19665336 24581670 27039837 31136782 32775560 36053116 39330672 45066395 46705173 49163340 54079674 62273564 65551120 72106232 77841955 90132790 93410346 98326680 108159348 124547128 135199185 144212464 155683910 171252301 180265580 186820692 196653360 216318696 233525865 249094256 270398370 311367820 342504602 360531160 373641384 432637392 467051730 513756903 540796740 622735640 685009204 721062320 747282768 856261505 934103460 1027513806 1081593480 1245471280 1370018408 1712523010 1868206920 2055027612 2163186960 2568784515 2740036816 3425046020 3736413840 4110055224 5137569030 6850092040 8220110448 10275138060 13700184080 20550276120 41100552240